| Title:
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FUNCTIONAL APPROACH TO OPTIMAL EXPERIMENTAL DESIGN
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| By: |
Viatcheslav B. Melas |
| Format: |
Paperback |
| List price:
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£76.50 |
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| ISBN 10: |
038798741X |
| ISBN 13: |
9780387987415 |
| Publisher: |
SPRINGER-VERLAG NEW YORK INC. |
| Pub. date: |
1 December, 2005 |
| Edition: |
2006 ed. |
| Series: |
Lecture Notes in Statistics 184 |
| Pages: |
338 |
| Description: |
Deals with functional theory of optimal designs. This theory relates to points and weight of optimal designs considered as functions of some values. This statistical monograph is useful for researchers in the area of experimental design. |
| Synopsis: |
The present book is devoted to studying optimal experimental designs for a wide class of linear and nonlinear regression models. This class includes polynomial, trigonometrical, rational, and exponential models as well as many particular models used in ecology and microbiology. As the criteria of optimality, the well known D-, E-, and c-criteria are implemented. The main idea of the book is to study the dependence of optimal - signs on values of unknown parameters and on the bounds of the design interval. Such a study can be performed on the base of the Implicit Fu- tion Theorem, the classical result of functional analysis. The idea was ?rst introduced in the author's paper (Melas, 1978) for nonlinear in parameters exponential models. Recently, it was developed for other models in a n- ber of works (Melas (1995, 2000, 2001, 2004, 2005), Dette, Melas (2002, 2003), Dette, Melas, Pepelyshev (2002, 2003, 2004b), and Dette, Melas, Biederman (2002)). Thepurposeofthepresentbookistobringtogethertheresultsobtained and to develop further underlying concepts and tools. The approach, m- tioned above, will be called the functional approach. Its brief description can be found in the Introduction. The book contains eight chapters. The ?rst chapter introduces basic concepts and results of optimal design theory, initiated mainly by J.Kiefer. |
| Illustrations: |
X, 338 p. |
| Publication: |
US |
| Imprint: |
Springer-Verlag New York Inc. |
| Returns: |
Returnable |
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